Answer:
All real numbers greater than or equal to 0.
Step-by-step explanation:
Since the number under the square root can't be negative, x is greater than or equal to zero.
The range of the function is:
Domain of a function--
The domain of a function is the set of all the possible values of x for which the function is defined.
Range of a function--
The range of the function is the set of values which are attained by a function in it's domain.
We are given a function f(x) as:
[tex]f(x)=\dfrac{1}{2}\sqrt{x}[/tex]
We know that the domain of the function is:
[tex]x\geq 0[/tex]
Hence, if [tex]x\geq 0[/tex]
then,
[tex]\sqrt{x}\geq 0[/tex]
i.e.
[tex]\dfrac{1}{2}\sqrt{x}\geq 0[/tex]
Hence, the range of the function is:
f(x)≥0
i.e. all the real numbers greater than or equal to zero.
